基于不等式的电磁参数反演算法分析与验证  

Analysis and verification of inequality-based inversion algorithm for electromagnetic prameters

作　　者：张国瑞[1] 李维佳[1] 周阳[1] 刘彦宁[1] ZHANG Guorui;LI Weijia;ZHOU Yang;LIU Yanning(National Engineering Research Center of Electromagnetic Radiation Control Materials,University of Electronic Scienceand Technology of China,Chengdu 610054,China)

机构地区：[1]电子科技大学国家电磁辐射控制材料工程技术研究中心

出　　处：《电子元件与材料》2019年第7期1-6,共6页Electronic Components And Materials

基　　金：国家自然科学基金资助项目(61471097)

摘　　要：针对传统等效电磁参数反演算法对折射率实部分支选择较为复杂繁琐的问题,基于长波极限,将单元线度小于工作波长的超材料单元结构等效为均匀媒质,根据建模仿真或实验测试得到的结构散射参数,经数学推导得到该等效均匀媒质的本征阻抗和折射率。然后根据介电常数、磁导率与本征阻抗、折射率之间的关系,给出满足被动无源介质的不等式,并利用该不等式限定折射率实部分支的范围。在等效参数发生阶跃的频段,根据参数的连续性对分支进行筛选,最终得到结构的等效电磁参数。相较于传统的泰勒展开和K-K积分算法,不等式的计算难度要低得多,对分支的选择也简便得多。最后通过连续平板复合材料和超材料单元阵列的相关算例,并与测试结果或CST计算结果相对比,验证了该法的可行性和有效性。In order to solve the complex problem of choosing the proper branch of real part of refractive index during the traditional processing of equivalent electromagnetic parameter inversion,the metamaterial in which the linearity of the unit is less than the operation wavelength is considered as the homogeneous medium based on the long wave limit.According to the scattering parameters obtained by simulation or experiment test,the intrinsic impedance and refractive index of the equivalent homogeneous medium are derived mathematically.Then,according to the relationship among dielectric constant,permeability,intrinsic impedance and refractive index,an inequality which satisfies the passive medium is given,and the range of the real part of refractive index is limited by the inequality.The branch is filtered according to the continuity of the parameters when the equivalent parameters step,and the equivalent electromagnetic parameters of the structure are finally obtained.Compared with the traditional method of Taylor expansion and K-K integral algorithm,the calculation of inequality is much easier and the selection of branches is much simpler.Finally,verified with the calculation of the numerical examples of continuous composite plate and metamaterial,the proposed method is in good agreement with the test or CST results,indicating the feasibility and validity of the algorithm.

关 键 词：超材料 电磁参数反演 等效参数 折射率 本征阻抗 

分 类 号：O441[理学—电磁学]